Prime Factorization every composite number expressed as a product of a prime number.

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Presentation transcript:

Prime Factorization every composite number expressed as a product of a prime number.

Concept Summary : Concept Summary : nPnPnPnPrime nAnAnAnA whole number that has exactly two factors, 1 and the number itself. n1n1n1n11, 13, 25 nCnCnCnComposite nAnAnAnA number greater than 1 with more than two factors. n6n6n6n6, 10, 18 nNnNnNnNeither prime nor composite n1n1n1n1 has only one factor. O has an infinite number or factors. n0n0n0n0, 1

.Identify Prime and composite, or neither n2n2n2n28: The factors of 28 are 1 and 28, 2 and 14, and 4 and 7. Since 28 has more than two factors, it is a composite number. n1n1n1n11: The factors of 11 are 1 and 11. Since there are exactly two factors, 1 and the number itself, 11 is a prime number.

Remember n Factor:when two or more numbers are multiplied, each number is called a factor of the product. n Prime Number:a whole number that has exactly two unique factors, 1 and the number itself. n Composite number:a number greater than 1 with more than two factors.

Prime Numbers and Prime Factorization nEnEnEnEvery Composite number can be written as a product of prime numbers n6n6n6n6 = 2 x 3 n8n8n8n8 = 2 x 2 x 2 n1n1n1n12= 2 x 2 x 3

Prime Factors n Factors that are prime numbers are called prime factors. You can use Factor Tree to find prime factors. This one shows the prime factors of 50 n =2 x 5 x 5 is the prime factorization of 50.

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